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Finding the Fourth Proportional to 301.66, 415.76 and 208.24

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Solution

The fourth proportional to 301.66, 415.76 and 208.24 is: 287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.66 : 415.76 = 208.24 : x
  2. Step 2: Convert to fraction form
    301.66/415.76 = 208.24/x
  3. Step 3: Cross multiply
    301.66x = 415.76 × 208.24
  4. Step 4: Simplify right side
    301.66x = 86,575.78
  5. Step 5: Solve for x
    x = 86,575.78/301.66
  6. Step 6: Final answer
    x = 287.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.